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Hsu-Robbins and Spitzer's theorems for the variations of fractional Brownian motion

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1.	Title	Title of document	Hsu-Robbins and Spitzer's theorems for the variations of fractional Brownian motion
2.	Creator	Author's name, affiliation, country	Ciprian A. Tudor; Universte de Paris 1
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	multiple stochastic integrals, selfsimilar processes, fractional Brownian motion, Hermite processes, limit theorems, Stein's method.
3.	Subject	Subject classification	60G15, 60H05, 60F05, 60H07.
4.	Description	Abstract	Using recent results on the behavior of multiple Wiener-Itô integrals based on Stein's method, we prove Hsu-Robbins and Spitzer's theorems for sequences of correlated random variables related to the increments of the fractional Brownian motion.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2009-07-09
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ecp.ejpecp.org/article/view/1481
10.	Identifier	Digital Object Identifier	10.1214/ECP.v14-1481
11.	Source	Journal/conference title; vol., no. (year)	Electronic Communications in Probability; Vol 14
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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